5k^3+30k^2+40k=

Solution for 5k^3+30k^2+40k= equation:

Simplifying
5k3 + 30k2 + 40k = 0

Reorder the terms:
40k + 30k2 + 5k3 = 0

Solving
40k + 30k2 + 5k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5k'.
5k(8 + 6k + k2) = 0

Factor a trinomial.
5k((4 + k)(2 + k)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

Move all terms containing k to the left, all other terms to the right.

Simplifying
k = 0
Subproblem 2
Set the factor '(4 + k)' equal to zero and attempt to solve:

Simplifying
4 + k = 0

Solving
4 + k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + k = 0 + -4
k = 0 + -4

Combine like terms: 0 + -4 = -4
k = -4

Simplifying
k = -4
Subproblem 3
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

Simplifying
k = -2
Solution
k = {0, -4, -2}